BOUNDED SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS WITH TIME DELAY
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Texas State Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider the initial value problem d(2)u/dt(2) + Au(t) - f(u(t), u(t - w)), t > 0, u(t) = phi(t), -w <= t <= 0 for a nonlinear hyperbolic equation with time delay in a Hilbert space with the self adjoint positive definite operator A. We establish the existence and uniqueness of a bounded solution, and show application of the main theorem for four nonlinear partial differential equations with time delay. We present first and second order accuracy difference schemes for the solution of one dimensional nonlinear hyperbolic equation with time delay. Numerical results are also given.
Açıklama
Anahtar Kelimeler
Nonlinear Hyperbolic Equation, Time Delay, Bounded Solution, Parabolic Difference-Equations, Well-Posedness, Operators, Stability, Terms
Kaynak
Electronic Journal Of Differential Equations
WoS Q Değeri
Q3
